Officials: Cargo plane crashes at Bagram Airfield, Afghanistan

Lt. Quenton Roehricht, of the International Security Assistance Force, said the plane developed some kind of problem "very shortly" after taking off and crashed at about 3 p.m. local time (6:30 a.m. ET).

"At this time, we can confirm there was no insurgent activity when contact was lost," he said.

The Taliban has issued a warning that it will increase attacks on foreign military forces in Afghanistan. NBC's Ron Mott reports.

Roehricht said information was still being gathered and he was not able to confirm whether there had been any casualties or what might have caused the crash.

Zamaray Khan, a local police chief, said there was a large fire after the plane crashed and it appeared that the crew members had been killed.

The Taliban claimed in a statement that it had shot down an American plane at 4 p.m. local time (7:30 a.m. ET).